On skew derivations and antiautomorphisms in prime rings.

Autor: Alali, Amal S., Alnoghashi, Hafedh, Nisar, Junaid, ur Rehman, Nadeem, Alqarni, Faez A.
Předmět:
Zdroj: Georgian Mathematical Journal; Apr2024, Vol. 31 Issue 2, p173-179, 7p
Abstrakt: According to Posner's second theorem, a prime ring is forced to be commutative if a nonzero centralizing derivation exists on it. In this article, we extend this result to prime rings with antiautomorphisms and nonzero skew derivations. Additionally, a case is shown to demonstrate that the restrictions placed on the theorems' hypothesis were not unnecessary. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index